(* Title: HOLCF/cprod3.thy
ID: $Id$
Author: Franz Regensburger
Copyright 1993 Technische Universitaet Muenchen
Class instance of * for class pcpo
*)
Cprod3 = Cprod2 +
arities "*" :: (pcpo,pcpo)pcpo (* Witness cprod2.ML *)
consts
cpair :: "'a -> 'b -> ('a*'b)" (* continuous pairing *)
cfst :: "('a*'b)->'a"
csnd :: "('a*'b)->'b"
csplit :: "('a->'b->'c)->('a*'b)->'c"
syntax "@cpair" :: "'a => 'b => ('a*'b)" ("_#_" [101,100] 100)
translations "x#y" == "cpair[x][y]"
rules
inst_cprod_pcpo "(UU::'a*'b) = <UU,UU>"
cpair_def "cpair == (LAM x y.<x,y>)"
cfst_def "cfst == (LAM p.fst(p))"
csnd_def "csnd == (LAM p.snd(p))"
csplit_def "csplit == (LAM f p.f[cfst[p]][csnd[p]])"
end